Statement:

The regular cardinals are cofinal in the class of ordinals.

Howard_Rubin_Number: 159

Parameter(s): This form does not depend on parameters

This form's transferability is: Unknown

This form's negation transferability is: Negation Transferable

Article Citations:
Blass-1983b: Words, free algebras and coequalizers

Book references

Note connections:

The following forms are listed as conclusions of this form class in rfb1: 104,

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Complete List of Equivalent Forms

Howard-Rubin Number Statement References
159 A

Every variety has an initial algebra.

Blass [1983b]
Note [32]
159 B

For every variety \(V\) and set \(X\), \(V\) has a free algebra on \(X\).

Blass [1983b]
Note [32]